The standard form of the number 5.871x10⁻⁷ is 0.0000005871 after using the properties of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number is:
= 5.871x10⁻⁷
After using the properties of the integer exponent:
= 5.871x(1/10⁷)
= 5.871x(1/10000000)
= 5.871x0.0000001
= 0.0000005871
Thus, the standard form of the number 5.871x10⁻⁷ is 0.0000005871 after using the properties of the integer exponent.
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Order this set of numbers from least to greatest: 2.51, 2.3, 2.15
Write me equation for each translation of y = |x| of 6 units down
To find 12times 13 i double 13and halve 12and then multiply.
If 1 mile is equal to 1.61 kilometers, how many kilometers are there in 50 miles
There are 80.5 kilometres in 50 miles.
1 mile= 1.61 km
50 miles= x
1x= 50*1.61
x=80.1
80.1 kilometers
roberto had 88$, which is eleven times as much money as bianca had. how much money did bianca have?
The answer is 8.
You divide 88 by 11 to find out how much Bianca haves.
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Answer: R' = [tex](3\frac{1}{3} ,1\frac{2}{3})[/tex], S' = [tex](3\frac{1}{3} ,-3\frac{1}{3})[/tex], T' = [tex](-1\frac{2}{3} ,-3\frac{1}{3})[/tex]
Step-by-step explanation:
R = (2, 1) ⇒ R' = [tex](\frac{5}{3})2 , (\frac{5}{3})1 = (\frac{10}{3} , \frac{5}{3})[/tex]
S = (2, -2) ⇒ S' = [tex](\frac{5}{3})2 , (\frac{5}{3})(-2) = (\frac{10}{3} , \frac{-10}{3})[/tex]
T = (-1, -2) ⇒ T' = [tex](\frac{5}{3})(-1) , (\frac{5}{3})(-2) = (\frac{-5}{3} , \frac{-10}{3})[/tex]
Plot the coordinates.
A local pet store has a total of 72 fish in 9 tanks. Each tank holds the same number of fish. How many fish are in each tank?
There are eight fish in each tank. Because 72 divided by 9 is 8.
The scale of a model train is 1 inch to 13.5 ft . One of the model trains is 5 inches long what is the length in feet of the actual train car
1 in: 13.5 ft
x5 x5
5 in : 67.5 ft
Answer: 67.5 ft
Nuclear power provided 78% of the energy used in france in 2005. Write 0.78 as a fraction in simplest form.
Here we are given first that Nuclear power provided 78% of the energy used in france in 2005.
Now this was written in decimal as 0.78.
Then we have to write it in fraction form.
So first we have here two digits after the decimal, so in denominator we will have 100,
[tex]\frac{78}{100}[/tex]
Now we have to convert this into simplest form.
For that we have to find HCF of 78 and 100.
The HCF of 78 and 100 is 2, so we will divide both numerator and denominator by 2,
[tex]\frac{78/2}{100/2}[/tex]
This gives us:
[tex]\frac{39}{50}[/tex]
Answer: The simplest form of 0.78 as as fraction is 39/50.
Amy is using a drawing program to complete a construction with which she is almost finished. Which construction is she completing?
Two intersecting circles are drawn with a radius in each marked. the image will be linked
An equilateral triangle inscribed in a circle
A square inscribed in a circle
A regular pentagon inscribed in a circle
A regular hexagon inscribed in a circle
Given options : Two intersecting circles are drawn with a radius in each marked. the image will be linked.
Given options : An equilateral triangle inscribed in a circle
A square inscribed in a circle
A regular pentagon inscribed in a circle
A regular hexagon inscribed in a circle.
Note. When we join an intersection point of two circles and centers of the circles it would form an equilateral triangle that would be inscribe inside a common portion of both circles..
Therefore, an equilateral triangle inscribed in a circle would be correct option.
She is completing an equilateral triangle inscribed in a circle.
Multiply (x-3(4x+2) using the distributive property.
Chose the answer below that shows the correct distribution
A.(x-3)(4x)+(4x)(2)
B.(x)(4x+2)+(x-3)
C.(x)(4x)+2(x)+4x+2
D.(x-3)(4x)+(x-3)(2)
D. (X-3)(4x)+(x-3)(2)
Answer:
[tex](x-3)(4x)+)x-3)(2)[/tex]
Step-by-step explanation:
Multiply [tex](x-3)(4x+2)[/tex] using the distributive property.
Distributive property is a(b+c) is a times b + a times c
Distribute a inside the parenthesis
When we are given with two parenthesis , we distribute first parenthesis inside the second parenthesis
In the given expression, distribute (x-3) inside the second parenthesis
[tex](x-3)(4x+2)[/tex]
[tex](x-3)(4x)+)x-3)(2)[/tex]
If mrs.Dimas has $130 to buy basketballs for edison middle school.How many can she buy at $15 each?Interpret the remainder
Mrs. Dimas should have $10 left over, you will also be able to buy 8 basketballs.
Which of the following equations describes a line with an x-intercept of 3? A. x + y = −3 B. x − y = −3 C. x = 3
The correct equation which describes a line with an x-intercept of 3 is C. x = 3. This implies a vertical line where the x-value is always 3, regardless of the y-value.
Explanation:In response to your query about which of the following equations describes a line with an x-intercept of 3, the direct answer is C. x = 3. An x-intercept is the point where a line crosses the x-axis. For an equation to have an x-intercept of 3, it means that when y is 0, x equals 3. By plotting this on a graph, y can be any real number, but x will always stay 3. Therefore, the equation x = 3, which option C represents, is the correct description for a line with an x-intercept of 3.
It's important to note that, in terms of linear equations (generally represented as y = mx + b, where m represents the slope and b represents the y-intercept), x = 3 can be perceived as a vertical line that intersects the x-axis at point 3.
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the perez family has a rectangle fish tank. How much water will the tank hold if its length is 3 feet, its width is 2 feet, and its high is 3 feet
Hello there
Since there is 1 foot water in the tank the total volume = 3*2 * 1
= 6 cubic feet.
volume of 6 cu. feet corresponds to 1 foot of water in height, this will help you find your answer
The Perez family's rectangular fish tank can hold 18 cubic feet of water by multiplying the length, width, and height (3ft x 2ft x 3ft).
To calculate the amount of water the Perez family's rectangular fish tank can hold, we use the formula for the volume of a rectangle, which is length * width * height.
Given:
Length (l) = 3 feetWidth (w) = 2 feetHeight (h) = 3 feetThe volume (V) is calculated as:
V = l * w * h
V = 3 feet * 2 feet * 3 feet
V = 18 cubic feet
Therefore, the rectangular fish tank can hold 18 cubic feet of water.
F(n) = 900 - 60(n-1) represent the amount oscar still need to repay on a loan at the beginning of month n .Find the amount oscar pays monthly and the month in which he will make his last payment.
Answer:Each installment will be of 60 and 16th will be the last payment.
Step-by-step explanation:
To find the monthly repayment by Oscar we first find the sequence.
For that first we put [tex] n=1 [/tex] in
[tex] F(n)=900-60(n-1)[/tex]
[tex] F(1)= 900-60(1-1) = 900 [/tex]
Now for [tex]n=2 [/tex]
[tex] F(2)=900-60(2-1)=840[/tex]
For [tex]n=3[/tex]
[tex] F(3)=900-60(3-1)=900-120=780[/tex]
So the sequenxe is 900,840,780......
As the amount is decreasing by 900-840=840-780=60
Therefore each installment will be equal to 60
For last payment amount will become 0
i.e.[tex]F(n) =0[/tex]
[tex] 900-60(n-1)=0[/tex]
[tex] 900-60n+60=0 [/tex]
[tex] 960=60n [/tex]
[tex]n = 960\div60[/tex]
[tex]n = 16 [/tex]
Last month will be 16th
The amount Oscar pays monthly is $900, and he will make his last payment in month 16.
Explanation:To find the amount Oscar pays monthly, we can subtract the amount he repays in each month from the previous month's balance. The formula F(n) = 900 - 60(n-1) represents the remaining amount Oscar needs to repay at the beginning of month n. By plugging in n = 1, we can find the initial balance and the amount he paid that month. To find the month in which he makes his last payment, we can set F(n) to zero and solve for n.
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Carlie spent $42 at the salon. Her mother loaned her the money. Carlie will pay her mother 15% of $42 each week until the loan is repaid. About how many weeks will it take carlie to repay her mother.
Jill's fish weighs 8 times as much as her parakeet. Together they weight 63 ounces. How much does the fish weight
Gilbert has 50 drywall screws. He is purchasing more screws. He can purchase up to 6 boxes of screws. Each box of screws contains 200 screws. He can't purchase partial boxes. The function that models the number screws Gilbert has is f(b)=200b+50 f ( b ) = 200 b + 50 , where b is the number of boxes he purchases. What is the practical domain of the function?
Answer:
All integers from 1 to 6 inclusive!
These four elements are most likely in group 15. 16. 17. 18.
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Factor the expression over the complex numbers.
x2+25
Answer:(x+5i) (x-5i) is the right answer
The expression x^2 + 25 can be factored over the complex numbers as (x + 5i) and (x - 5i). This is achieved using the sum of squares formula a^2 + b^2 = (a + bi)(a - bi).
Explanation:The expression you are tasked with factoring is x2 + 25.
This is a sum of squares expression and can be factored using the formula a2 + b2 = (a + bi)(a - bi), where 'i' represents the complex numbers.
So, x2 + 25 can be factored as (x + 5i)(x - 5i).
This is because the square root of 25 is 5, and 'i' represents the imaginary number.
So the factors of the expression x2 + 25 over the complex numbers are (x + 5i) and (x - 5i).
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Ruben bought 6 new book which increased his collection by 12%. How many books did he have?
Answer:
The initial number of books he had=50
The number of books he has after adding new books=56
Step-by-step explanation:
Step 1: Derive formula for percentage increase
The formula for calculating the percentage increase is;
p={(f-i)/i}×100
where;
p=the percentage increase
f=the final number of books he had
i=the initial number of he had
In our case;
p=12%
(f-i)=defines the increase in the number of books=6
i=unknown
Substitute and solve for i;
12%=6/i
(12/100)=6/i
(12/100)×i=6
i=6×100/12
i=50
The initial number of books he had=50
The number of books he has after adding new books=50+6=56
A piece of fabric is 1/3 yard by 3 5/8 yards. Irma solves 1/3⋅3 5/8 to find the area of the fabric in square yards. Enter numbers to complete irma's calculation for the area.
For this case we have:
The area of the piece of fabric is given by [tex]A = a * b[/tex]
Where
[tex]a = \frac{1}{3}yards[/tex]
[tex]b = 3 \frac{5}{8}yards[/tex]
Substituting in the formula of the area we have:
[tex]A = \frac{1}{3}* 3 \frac{5}{8}\\[/tex]
[tex]A = \frac{1}{3}* (3 + \frac{5}{8})\\[/tex]
[tex]A = 1 + \frac{5}{24}[/tex]
[tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]
Thus, the area of the piece of fabric is given by: [tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]
Answer:
[tex]A = 1\frac{5}{24}yards ^ 2\\[/tex]
1/3 x 3 5/8 = (1/3 x 3) + (1/3 x 5/8)
= 3/3 + 5/24
= 29/24
A company can produce as many as 50 mountain bikes and as many as...
The other constrain would be the number of hours it takes to make each one.
4 hours for a mountain bike would be 4x
5 hours for a road bike would be 5y
The hours need to be less than or equal to a total of 300 hours.
The missing constraint would be 4x + 5y ≤ 300.
Answer:
4x + 5y ≤ 300
Step-by-step explanation:
x: no of mt bike n y: no. of road bike
4 labor hrs for 1 mt bike n 5 labor hrs for 1 road bike
company has at most 300 labor hrs per day
so the contraint is 4x + 5y ≤ 300
Which line has a slope of 0?
x=1
3y+6x=0
y=x
y=-5
Using the variable x, translate the sentence into an equation. Solve the resulting equation.
the sum of 4 and a number is 18
Why do you multiply the tax and the money 3.38 aren’t you supposed to add
1. Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable
2.What
is the best estimate for the average cost of tuition at a 4-year institution
starting in 2000.
3.What
is the best estimate for the average cost of tuition at a 4-year institution
starting in 2020. (Hint: Use the graph from desmos, or your equation from part
A).
4. What
does the slope mean in context of the situation?
5. Most
students are not able to afford this tuition for 4 years. What are some ways
that you can lower the cost of your college tuition? If you don’t plan to
attend college, what things can do you post- HS graduation to continue your
education or provide for yourself financially?
Hello,
Please, see the attached files.
Thanks.
-20 less than or equal to 2x -20 less than or equal to 30
Answer = 0 ≤ x ≤ 25
Explanation:
Break the word equation into two for better understanding
-20 less than or equal to 2x -20 >>>> -20 ≤ 2x -20
2x -20 less than or equal to 30 >>>> 2x -20 ≤ 30
Keeping in view the question we deduce the equation
-20 ≤ 2x -20 ≤ 30
Solve and simplify the above equation accordingly, by breaking down the equation
-20 ≤ 2x -20 and 2x -20 ≤ 30
-20+20 ≤ 2x and 2x ≤ 30 +20
0 ≤ x (0/2) and x ≤ 25 (50/2)
So, 0 ≤ x ≤ 25
What is the range of f(x)?
{ f(x)| –∞ < f(x) < ∞}
{ f(x)| –∞ < f(x) ≤ 4}
{ f(x)| 4 < f(x) < ∞}
{ f(x)| 0 ≤ f(x) < ∞}
Answer:
best ans is { f(x)| –∞ < f(x) ≤ 4}
Step-by-step explanation:
usually to find the range of a fn, u need to see what the value can be. the graph show only a small range of x values. but u can see f(x) is definitely < 4. so the ans is { f(x)| –∞ < f(x) ≤ 4}
The range of the graph will be (–∞, 4]. Then the correct option is B.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
From the graph, we can conclude that the curve gets saturated at y = 4 and as the value of x approached to infinity, the value of y approach to negative infinity.
The range of the graph will be (–∞, 4].
Then the correct option is B.
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In 2012,five u.S. Postal stamps cost money 2.20.How much did seven stamps cost
Answer:
$3.08
Step-by-step explanation:
First you have to find how much each stamp costs. So u take 2.20 ÷ 5 = 0.44.
Next you take 0.44 x 7 and you should get $3.08